Highest Common Factor of 823, 459, 482 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 823, 459, 482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 823, 459, 482 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 823, 459, 482 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 823, 459, 482 is 1.
HCF(823, 459, 482) = 1
HCF of 823, 459, 482 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 823, 459, 482 is 1.
Highest Common Factor of 823,459,482 is 1
Step 1: Since 823 > 459, we apply the division lemma to 823 and 459, to get
823 = 459 x 1 + 364
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 364 and 459, to get
459 = 364 x 1 + 95
Step 3: We consider the new divisor 364 and the new remainder 95, and apply the division lemma to get
364 = 95 x 3 + 79
We consider the new divisor 95 and the new remainder 79,and apply the division lemma to get
95 = 79 x 1 + 16
We consider the new divisor 79 and the new remainder 16,and apply the division lemma to get
79 = 16 x 4 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 823 and 459 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(79,16) = HCF(95,79) = HCF(364,95) = HCF(459,364) = HCF(823,459) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 482 > 1, we apply the division lemma to 482 and 1, to get
482 = 1 x 482 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 482 is 1
Notice that 1 = HCF(482,1) .
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Frequently Asked Questions on HCF of 823, 459, 482 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 823, 459, 482?
Answer: HCF of 823, 459, 482 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 823, 459, 482 using Euclid's Algorithm?
Answer: For arbitrary numbers 823, 459, 482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
